Relevant bibliographies by topics / Ericksen–Leslie equations

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Ericksen–Leslie equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Ericksen–Leslie equations"

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Mottram, N. J., J. T. Pinto, and G. McKay. "Decoupling of the Ericksen–Leslie equations." Liquid Crystals 40, no. 6 (2013): 787–98. http://dx.doi.org/10.1080/02678292.2013.783134.

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Véron, Alain R., and Assis F. Martins. "Tensorial Form of Leslie-Ericksen Equations and Applications." Molecular Crystals and Liquid Crystals 508, no. 1 (2009): 309/[671]—336/[698]. http://dx.doi.org/10.1080/15421400903065796.

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Chechkin, Gregory A., Tudor S. Ratiu, Maxim S. Romanov, and Vyacheslav N. Samokhin. "Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system." Mathematical Models and Methods in Applied Sciences 27, no. 05 (2017): 807–43. http://dx.doi.org/10.1142/s0218202517500178.

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In this paper, we study the three-dimensional Ericksen–Leslie equations for the nematodynamics of liquid crystals. We prove short time existence and uniqueness of strong solutions for the initial value problem for the periodic case and in bounded domains with both Dirichlet- and Neumann-type boundary conditions.
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4

Jiang, Ning, Yi-Long Luo, and Shaojun Tang. "On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow." Mathematical Models and Methods in Applied Sciences 29, no. 01 (2019): 121–83. http://dx.doi.org/10.1142/s0218202519500052.

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We study the well-posedness of the Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow. Inspired by our study for incompressible case [N. Jiang and Y.-L. Luo, On well-posedness of Ericsen–Leslie’s hyperbolic incompressible liquid crystal model, preprint (2017), arXiv:1709.06370v1 ] and some techniques from compressible Navier–Stokes equations, we first prove the local-in-time existence of the classical solution to the system with finite initial energy, under some natural constraints on the Leslie coefficients which ensure that the basic energy law is dissipative. F
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Hieber, Matthias, and Jan Prüss. "Dynamics of the Ericksen–Leslie Equations with General Leslie Stress II: The Compressible Isotropic Case." Archive for Rational Mechanics and Analysis 233, no. 3 (2019): 1441–68. http://dx.doi.org/10.1007/s00205-019-01382-9.

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Hieber, Matthias, and Jan Prüss. "Dynamics of the Ericksen–Leslie equations with general Leslie stress I: the incompressible isotropic case." Mathematische Annalen 369, no. 3-4 (2016): 977–96. http://dx.doi.org/10.1007/s00208-016-1453-7.

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7

Güler, Marifi. "Symbolic evaluation of the Ericksen-Leslie equations in the computation domain." Journal of Non-Newtonian Fluid Mechanics 52, no. 3 (1994): 309–21. http://dx.doi.org/10.1016/0377-0257(94)85027-5.

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Hieber, Matthias. "On operator semigroups arising in the study of incompressible viscous fluid flows." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2185 (2020): 20190618. http://dx.doi.org/10.1098/rsta.2019.0618.

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This article concentrates on various operator semigroups arising in the study of viscous and incompressible flows. Of particular concern are the classical Stokes semigroup, the hydrostatic Stokes semigroup, the Oldroyd as well as the Ericksen–Leslie semigroup. Besides their intrinsic interest, the properties of these semigroups play an important role in the investigation of the associated nonlinear equations. This article is part of the theme issue ‘Semigroup applications everywhere’.
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9

Brzeźniak, Zdzisław, Erika Hausenblas, and Paul André Razafimandimby. "A note on the stochastic Ericksen-Leslie equations for nematic liquid crystals." Discrete & Continuous Dynamical Systems - B 22, no. 11 (2017): 1–18. http://dx.doi.org/10.3934/dcdsb.2019106.

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Cabrales, R. C., F. Guillén-González, and J. V. Gutiérrez-Santacreu. "A Time-Splitting Finite-Element Stable Approximation for the Ericksen--Leslie Equations." SIAM Journal on Scientific Computing 37, no. 2 (2015): B261—B282. http://dx.doi.org/10.1137/140960979.

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Dissertations / Theses on the topic "Ericksen–Leslie equations"

1

Hineman, Jay Lawrence. "THE HYDRODYNAMIC FLOW OF NEMATIC LIQUID CRYSTALS IN R3." UKnowledge, 2012. http://uknowledge.uky.edu/math_etds/7.

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This manuscript demonstrates the well-posedness (existence, uniqueness, and regularity of solutions) of the Cauchy problem for simplified equations of nematic liquid crystal hydrodynamic flow in three dimensions for initial data that is uniformly locally L3(R3) integrable (L3U(R3)). The equations examined are a simplified version of the equations derived by Ericksen and Leslie. Background on the continuum theory of nematic liquid crystals and their flow is provided as are explanations of the related mathematical literature for nematic liquid crystals and the Navier–Stokes equations.
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Cruz, Pedro Alexandre da. "Solução numérica de escoamentos de cristais líquidos nemáticos." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14092011-132650/.

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O objetivo desse trabalho é desenvolver métodos numéricos para simular escoamentos de cristais líquidos nemáticos governados pelas equações dinâmicas de Ericksen-Leslie. São apresentados dois métodos numéricos para a simulação de escoamentos de cristais líquidos nemáticos. O primeiro método foi desenvolvido para simular escoamentos tridimensionais de cristais líquidos nemáticos sob efeito de forte campo magnético enquanto que o segundo método foi desenvolvido para a simulação de escoamentos bidimensionais. Utilizando a notação de Einstein, as equações dinâmicas de Ericksen-Leslie são apresenta
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Book chapters on the topic "Ericksen–Leslie equations"

1

Hieber, Matthias, and Jan W. Prüss. "Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-10151-4_26-1.

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Hieber, Matthias, and Jan W. Prüss. "Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows." In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-13344-7_26.

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You might also be interested in the extended bibliographies on the topic 'Ericksen–Leslie equations' for particular source types:
Journal articles
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